Damping in a row of locally-resonant inclusions: dynamic homogenization and scattering of transient shear waves

DOI10.1016/j.wavemoti.2021.102811OpenAlexW3128014425MaRDI QIDQ2124070

Bruno Lombard, Marie Touboul, Xinzhao Gao

Publication date: 14 April 2022

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2021.102811

zbMATH Keywords

dissipationhomogenizationmatched-asymptotic expansionsresonant microstructurestime-domain numerical methods

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Cites Work

• Fast high order ADER schemes for linear hyperbolic equations
• Homogenized interface model describing inhomogeneities located on a surface
• Numerical treatment of two-dimensional interfaces for acoustic and elastic waves.
• Effective dynamic properties of a row of elastic inclusions: the case of scalar shear waves
• Numerical modeling of the acoustic wave propagation across a homogenized rigid microstructure in the time domain
• Time-domain simulation of wave propagation across resonant meta-interfaces
• Effective resonant model and simulations in the time-domain of wave scattering from a periodic row of highly-contrasted inclusions
• Finite Volume Methods for Hyperbolic Problems
• Lax-Wendroff-type schemes of arbitrary order in several space dimensions
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